Atkin-Lehner |
2- 7+ 19+ |
Signs for the Atkin-Lehner involutions |
Class |
59584br |
Isogeny class |
Conductor |
59584 |
Conductor |
∏ cp |
1 |
Product of Tamagawa factors cp |
deg |
87360 |
Modular degree for the optimal curve |
Δ |
-7009998016 = -1 · 26 · 78 · 19 |
Discriminant |
Eigenvalues |
2- -2 1 7+ 0 6 5 19+ |
Hecke eigenvalues for primes up to 20 |
Equation |
[0,1,0,-16235,790831] |
[a1,a2,a3,a4,a6] |
j |
-1282753024/19 |
j-invariant |
L |
1.2135225410365 |
L(r)(E,1)/r! |
Ω |
1.2135225424064 |
Real period |
R |
1 |
Regulator |
r |
0 |
Rank of the group of rational points |
S |
1 |
(Analytic) order of Ш |
t |
1 |
Number of elements in the torsion subgroup |
Twists |
59584bx1 29792g1 59584cy1 |
Quadratic twists by: -4 8 -7 |